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- La ecuación:
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Ecuación 2x^2-x-1=x^2-5x-(-1-x^2)
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Ecuación x^2+4=5x
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Ecuación x(x^2+2x+1)=6(x+1)
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Ecuación 4x+1=-3x+15
- Expresar {x} en función de y en la ecuación:
- -6*x-20*y=8
- 13*x-12*y=19
- -9*x+11*y=9
- -4*x-8*y=-20
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Expresiones idénticas
- dos *(uno +(uno - cuatro *(x- uno)^ dos /(x*(x- dos)))*(-x^ dos +x+ uno)/(x*(x- dos))- dos *(x- uno)*(dos *x- uno)/(x*(x- dos)))/(x*(x- dos))= cero
- 2 multiplicar por (1 más (1 menos 4 multiplicar por (x menos 1) al cuadrado dividir por (x multiplicar por (x menos 2))) multiplicar por ( menos x al cuadrado más x más 1) dividir por (x multiplicar por (x menos 2)) menos 2 multiplicar por (x menos 1) multiplicar por (2 multiplicar por x menos 1) dividir por (x multiplicar por (x menos 2))) dividir por (x multiplicar por (x menos 2)) es igual a 0
- dos multiplicar por (uno más (uno menos cuatro multiplicar por (x menos uno) en el grado dos dividir por (x multiplicar por (x menos dos))) multiplicar por ( menos x en el grado dos más x más uno) dividir por (x multiplicar por (x menos dos)) menos dos multiplicar por (x menos uno) multiplicar por (dos multiplicar por x menos uno) dividir por (x multiplicar por (x menos dos))) dividir por (x multiplicar por (x menos dos)) es igual a cero
- 2*(1+(1-4*(x-1)2/(x*(x-2)))*(-x2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*1+1-4*x-12/x*x-2*-x2+x+1/x*x-2-2*x-1*2*x-1/x*x-2/x*x-2=0
- 2*(1+(1-4*(x-1)²/(x*(x-2)))*(-x²+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1-4*(x-1) en el grado 2/(x*(x-2)))*(-x en el grado 2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2(1+(1-4(x-1)^2/(x(x-2)))(-x^2+x+1)/(x(x-2))-2(x-1)(2x-1)/(x(x-2)))/(x(x-2))=0
- 2(1+(1-4(x-1)2/(x(x-2)))(-x2+x+1)/(x(x-2))-2(x-1)(2x-1)/(x(x-2)))/(x(x-2))=0
- 21+1-4x-12/xx-2-x2+x+1/xx-2-2x-12x-1/xx-2/xx-2=0
- 21+1-4x-1^2/xx-2-x^2+x+1/xx-2-2x-12x-1/xx-2/xx-2=0
- 2*(1+(1-4*(x-1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=O
- 2*(1+(1-4*(x-1)^2 dividir por (x*(x-2)))*(-x^2+x+1) dividir por (x*(x-2))-2*(x-1)*(2*x-1) dividir por (x*(x-2))) dividir por (x*(x-2))=0
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Expresiones semejantes
- 2*(1-(1-4*(x-1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1-4*(x-1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x+2))=0
- 2*(1+(1-4*(x-1)^2/(x*(x-2)))*(-x^2+x-1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1-4*(x-1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x+2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1-4*(x-1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x-2))-2*(x+1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1+4*(x-1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1-4*(x-1)^2/(x*(x+2)))*(-x^2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1-4*(x-1)^2/(x*(x-2)))*(-x^2-x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1-4*(x+1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1-4*(x-1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x+2)))/(x*(x-2))=0
- 2*(1+(1-4*(x-1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x-2))-2*(x-1)*(2*x+1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1-4*(x-1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x-2))+2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
- 2*(1+(1-4*(x-1)^2/(x*(x-2)))*(x^2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0
2*(1+(1-4*(x-1)^2/(x*(x-2)))*(-x^2+x+1)/(x*(x-2))-2*(x-1)*(2*x-1)/(x*(x-2)))/(x*(x-2))=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ / 2\ \
| | 4*(x - 1) | / 2 \ |
| |1 - ----------|*\- x + x + 1/ |
| \ x*(x - 2) / 2*(x - 1)*(2*x - 1)|
2*|1 + ------------------------------- - -------------------|
\ x*(x - 2) x*(x - 2) /
------------------------------------------------------------- = 0
x*(x - 2)
$$\frac{2 \left(\left(1 + \frac{\left(1 - \frac{4 \left(x - 1\right)^{2}}{x \left(x - 2\right)}\right) \left(\left(- x^{2} + x\right) + 1\right)}{x \left(x - 2\right)}\right) - \frac{2 \left(x - 1\right) \left(2 x - 1\right)}{x \left(x - 2\right)}\right)}{x \left(x - 2\right)} = 0$$
Suma y producto de raíces
[src]
suma
___ ___ 1 + 1 - I*\/ 3 + 1 + I*\/ 3
$$\left(1 + \left(1 - \sqrt{3} i\right)\right) + \left(1 + \sqrt{3} i\right)$$
=
3
$$3$$
producto
/ ___\ / ___\ \1 - I*\/ 3 /*\1 + I*\/ 3 /
$$\left(1 - \sqrt{3} i\right) \left(1 + \sqrt{3} i\right)$$
=
4
$$4$$
4
Respuesta rápida
[src]
x1 = 1
$$x_{1} = 1$$
___ x2 = 1 - I*\/ 3
$$x_{2} = 1 - \sqrt{3} i$$
___ x3 = 1 + I*\/ 3
$$x_{3} = 1 + \sqrt{3} i$$
x3 = 1 + sqrt(3)*i
Respuesta numérica
[src]
x1 = 17419.1465966316
x2 = 19964.9245045934
x3 = -24921.3621902637
x4 = 20813.3567839656
x5 = 22510.0349062216
x6 = -20680.0005871641
x7 = 36078.4963997539
x8 = -12190.370154644
x9 = -35945.2223439184
x10 = 38622.052475392
x11 = 32686.908645112
x12 = -39336.6159281439
x13 = 21661.7244970745
x14 = 12323.9528945826
x15 = -29161.7551209425
x16 = -37640.9411012559
x17 = -40184.4386026602
x18 = 27598.988700432
x19 = -27465.6855787936
x20 = 33534.8277463296
x21 = -15587.9831604431
x22 = -14738.8877804077
x23 = -31705.6871018682
x24 = 25054.680257657
x25 = -41032.2522620506
x26 = -36793.0875928073
x27 = 18267.830504345
x28 = -25769.5030275477
x29 = -26617.6097747911
x30 = -38488.7836437515
x31 = -34249.4531443286
x32 = -42727.8546788417
x33 = -16436.9257563348
x34 = -18134.4376826092
x35 = 28447.0322181314
x36 = 14872.3615252223
x37 = -30857.7302337834
x38 = 30143.0452785532
x39 = 35230.6205590518
x40 = 15721.4317162104
x41 = -33401.5472330626
x42 = -22376.6965513211
x43 = 40317.7044871489
x44 = 42013.3207399508
x45 = -41880.0574529907
x46 = 30991.0188585806
x47 = -17285.7378735795
x48 = 19116.4191168605
x49 = 13173.6602162502
x50 = 23358.2942247546
x51 = -32553.6256373409
x52 = 34382.7313453171
x53 = -21528.3777438464
x54 = 24206.5077997197
x55 = 36926.3597868822
x56 = -24073.1836748035
x57 = 31838.9728060238
x58 = 37774.2115575193
x59 = 41165.5168076523
x60 = -19831.5576382391
x61 = -28313.7332108143
x62 = 26750.9174078628
x63 = 39469.8832387322
x64 = -18983.0401334679
x65 = -35097.3445054368
x66 = -23224.9633715763
x67 = -13040.1208268277
x68 = -13889.6119312053
x69 = -30009.7534832935
x70 = 16570.3528743801
x71 = 29295.0503657965
x72 = 14023.1155434449
x73 = 25902.81562193
x73 = 25902.81562193
Gráfico